Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/909, 73/767, 370/252 quickly i.e. 891330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/909, 73/767, 370/252 is 891330.
LCM(33/909, 73/767, 370/252) = 891330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/909,73/767,370/252
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 33,73,370
Least Common Multiple of Numerators i.e. LCM of 33,73,370 is 891330.
GCF of Denominators means GCF of 909,767,252 as per the given fractions.
GCF of 909,767,252 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,73,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 891330
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 33,73,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,73,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,73,370) x common factors =1 x 1 = 1
LCM(33,73,370) = ( 33 × 73 × 370 ) / 1
LCM(33,73,370) = 891330 / 1
LCM(33,73,370) = 891330
Lets's calculate GCF of 909,767,252
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 891330/1
Therefore the LCM of Fractions 33/909,73/767,370/252 is 891330
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 909,767,252 . The biggest common factor number is the GCF number.
So the greatest common factor 909,767,252 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 33/909, 73/767, 370/252?
Answer: LCM of Numerators as per given numbers 33/909, 73/767, 370/252 is
LCM of Numerators i.e. for 33,73,370 is 891330
GCF of denominators i.e. for 909,767,252 is 1.
Thus, LCM of Fractions is 891330.Finally, LCM of Fractions for 33/909, 73/767, 370/252 is 891330.